Multiplier theorem on generalized Heisenberg groups
Colloquium Mathematicae (1993)
- Volume: 65, Issue: 2, page 231-239
- ISSN: 0010-1354
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topHebisch, Waldemar. "Multiplier theorem on generalized Heisenberg groups." Colloquium Mathematicae 65.2 (1993): 231-239. <http://eudml.org/doc/210217>.
@article{Hebisch1993,
author = {Hebisch, Waldemar},
journal = {Colloquium Mathematicae},
keywords = { boundedness; sublaplacian; generalized Heisenberg groups; Hörmander result; Fourier multipliers},
language = {eng},
number = {2},
pages = {231-239},
title = {Multiplier theorem on generalized Heisenberg groups},
url = {http://eudml.org/doc/210217},
volume = {65},
year = {1993},
}
TY - JOUR
AU - Hebisch, Waldemar
TI - Multiplier theorem on generalized Heisenberg groups
JO - Colloquium Mathematicae
PY - 1993
VL - 65
IS - 2
SP - 231
EP - 239
LA - eng
KW - boundedness; sublaplacian; generalized Heisenberg groups; Hörmander result; Fourier multipliers
UR - http://eudml.org/doc/210217
ER -
References
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- [8] --, The distribution of energy in the Brownian motion in the Gaussian field and analytic-hypoellipticity of certain subelliptic operators on the Heisenberg group, Studia Math. 56 (1976), 165-173. Zbl0336.22007
- [9] A. Hulanicki and J. W. Jenkins, Nilpotent Lie groups and summability of eigenfunction expansions of Schrödinger operators, ibid. 80 (1984), 235-244.
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- [11] H. P. McKean, -Δ plus a bad potential, J. Math. Phys. 18 (1977), 1277-1279.
- [12] D. Müller and E. M. Stein, On spectral multipliers for Heisenberg and related groups, J. Math. Pures Appl., to appear. Zbl0838.43011
- [13] J. Randall, The heat kernel for generalized Heisenberg groups, to appear. Zbl0897.43007
Citations in EuDML Documents
top- Elias M. Stein, Spectral multipliers and multiple-parameter structures on the Heisenberg group
- Waldemar Hebisch, Boundedness of spectral multipliers for an exponential solvable Lie group
- Waldemar Hebisch, Jacek Zienkiewicz, Multiplier theorem on generalized Heisenberg groups II
- Sami Mustapha, Multiplicateurs de Mikhlin pour une classe particulière de groupes non-unimodulaires
- Giancarlo Mauceri, Moltiplicatori spettrali per l'operatore di Ornstein-Uhlenbeck
- Alessio Martini, Analysis of joint spectral multipliers on Lie groups of polynomial growth
- Detlef Müller, Sub-Laplacians of holomorphic -type on exponential Lie groups
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